Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes
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Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes
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Author : Maurice A De Gosson
language : en
Publisher: World Scientific
Release Date : 2017-11-10
Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes written by Maurice A De Gosson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-10 with Science categories.
The emergence of quantum mechanics from classical world mechanics is now a well-established theme in mathematical physics. This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant α but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.Emergence of the Quantum from the Classical provides help to undergraduate and graduate students of mathematics, physics and quantum theory looking to advance into research in the field.
Emergence Of The Quantum From The Classical
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Author : Maurice A. De Gosson
language : en
Publisher:
Release Date : 2017
Emergence Of The Quantum From The Classical written by Maurice A. De Gosson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with SCIENCE categories.
Quantum Harmonic Analysis
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Author : Maurice A. de Gosson
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-07-05
Quantum Harmonic Analysis written by Maurice A. de Gosson and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-05 with Mathematics categories.
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.
Are We There Yet The Search For A Theory Of Everything
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Author : Moataz H. Emam
language : en
Publisher: Bentham Science Publishers
Release Date : 2011-03-25
Are We There Yet The Search For A Theory Of Everything written by Moataz H. Emam and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-25 with Science categories.
We live in exciting times. the frontiers of physics have been pushed to unprecedented horizons. the Holy Grail of fundamental physics research today is to find and describe a theory that explains, at least in principle, all physical phenomena, which in turns explains chemistry, biology and other material sciences. This, however, is not without controversy. the current candidate for such a theory is known as string or superstring theory. It suffers from the problem of being a purely mathematical science with no experimental backing and belief in it has been criticized as bordering on "faith" as opposed to scientific scrutiny. On the other hand the recent switching-on of our most advanced experimental tool, the Large Hadron Collider in Switzerland, gives new hope in our search for clues as to what the universe is made of on a fundamental level. What happened exactly on, or even before, the Big Bang? Where are we coming from and where are we going? Questions that have never been addressed before by physicists. the game is afoot and the search is on. This book contains articles by leading physicists describing the current situation. Among them are proponents as well as opponents of string theory, proponents of other ideas, and experimentalists.
Proceedings Of The International Conference On Stochastic Analysis And Applications
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Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-20
Proceedings Of The International Conference On Stochastic Analysis And Applications written by Sergio Albeverio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-20 with Mathematics categories.
Stochastic analysis is a field of mathematical research having numerous interactions with other domains of mathematics such as partial differential equations, riemannian path spaces, dynamical systems, optimization. It also has many links with applications in engineering, finance, quantum physics, and other fields. This book covers recent and diverse aspects of stochastic and infinite-dimensional analysis. The included papers are written from a variety of standpoints (white noise analysis, Malliavin calculus, quantum stochastic calculus) by the contributors, and provide a broad coverage of the subject. This volume will be useful to graduate students and research mathematicians wishing to get acquainted with recent developments in the field of stochastic analysis.
Coherent Evolution In Noisy Environments
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Author : Andreas Buchleitner
language : en
Publisher: Springer
Release Date : 2008-01-11
Coherent Evolution In Noisy Environments written by Andreas Buchleitner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
In the last two decades extraordinary progress in the experimental handling of single quantum objects has spurred theoretical research into investigating the coupling between quantum systems and their environment. Decoherence, the gradual deterioration of entanglement due to dissipation and noise fed to the system by the environment, has emerged as a central concept. The present set of lectures is intended as a high-level, but self-contained, introduction into the fields of quantum noise and dissipation.In particular their influence on decoherence and applications pertaining to quantum information and quantum communication are studied, leading the nonspecialist researchers and the advanced students gradually to the forefront of research.
Path Integrals And Hamiltonians
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Author : B. E. Baaquie
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-27
Path Integrals And Hamiltonians written by B. E. Baaquie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-27 with Business & Economics categories.
A succinct introduction to the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics, with a practical emphasis on methodological and mathematical aspects. Essential reading for researchers and graduate students in physics, and engineers whose work touches on quantum mechanics.
Fundamentals Schr Dinger S Equation To Deep Learning
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Fundamentals Schr Dinger S Equation To Deep Learning written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
"Focusing on the journey from understanding Schrödinger's Equation to exploring the depths of Deep Learning, this book serves as a comprehensive guide for absolute beginners with no mathematical backgrounds. Starting with fundamental concepts in quantum mechanics, the book gradually introduces readers to the intricacies of Schrödinger's Equation and its applications in various fields. With clear explanations and accessible language, readers will delve into the principles of quantum mechanics and learn how they intersect with modern technologies such as Deep Learning. By bridging the gap between theoretical physics and practical applications, this book equips readers with the knowledge and skills to navigate the fascinating world of quantum mechanics and embark on the exciting journey of Deep Learning."
Mathematical Aspects Of Quantization
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Author : Sam Evens
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Mathematical Aspects Of Quantization written by Sam Evens and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This book is a collection of expository articles from the Center of Mathematics at Notre Dame's 2011 program on quantization. Included are lecture notes from a summer school on quantization on topics such as the Cherednik algebra, geometric quantization, detailed proofs of Willwacher's results on the Kontsevich graph complex, and group-valued moment maps. This book also includes expository articles on quantization and automorphic forms, renormalization, Berezin-Toeplitz quantization in the complex setting, and the commutation of quantization with reduction, as well as an original article on derived Poisson brackets. The primary goal of this volume is to make topics in quantization more accessible to graduate students and researchers.
Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.